Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The yz-plane. Answer:

Q: Find the equation of the plane through (1,2,3) and parallel to the plane: x+y=-2-z

A:

Q: Find parametrizations for the lines in which the planes 5x - 2y = 11, 4y - 5z = -17

A: Given: The given two planes  5x-2y=11 and 4y-5z = -17 are intersects.

Q: Find the points where the liner(t) = 4 − 3t, 8 + 7t, 5 + t, −∞ < t < ∞,intersects each of the…

A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: Plot the points A = ( - 1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment…

A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

Q: Find the distance, d, between the point S(4,8,4) and the plane 8x + 7y + 3z = 40. The distance, d,…

A: Given:       Point =S4,8,4        Plane 8x+7y+3z=40                  8x+7y+3z-40=0 Distance between…

Q: Find the points in which the line x = 1 + 2t, y =-1 - t, z = 3t meets the three coordinate planes.

A: Given line is  x = 1 + 2t, y =-1 - t, z = 3tWhen the line meets xy plane then z=0So, 3t=0Or, t=0

Q: Find the point at which the line intersects the given plane.

A:

Q: Which of the following planes contains the z-axis?x + y = 1

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Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: You are given the following points: A=(−9,−11,19), B=(20,0,−4),C=(10,−11,−23). Which point is…

A: We need to find distance.

Q: Find the distance from (2, -7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Here we find the distance from 2,-7,-8 to a xy plane b the yzplane , c the xz plane d the x-axis e…

Q: Find the distance from (4, –2, 6) to each of the following. a. The xy-plane

A:

Q: Find the equation for the plane through Po(4,9,8) perpendicular to the following li x= 4+t, y = 9+…

A: Given x=4+t  , -∞<t<∞y=9+2tz=-5tx=t=x-41 , y=t=y-a2  , z=t=-z5

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A: Two planes are neither perpendicular nor parallel.

Q: °. Find the horizontal distance the plane is from the control tower.

A: Here we use basic trigonometric ratios to find out the horizontal distance from tower to the plane.

Q: Sketch the following planes in the window [0, 5] × [0, 5] × [0, 5]. x = 2

A: To Sketch: x=2,in the region 0,5×0,5×0,5.

Q: Sketch the following planes in the window [0, 5] × [0, 5] × [0, 5]. The plane parallel to the…

A: First obtain the plane that parallel to the xz-plane containing the point (1, 2, 3).…

Q: Find the distance from the point (-2,0,3) to the plane given by the equation 3x+4y 5.

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Q: Find the distance from the point A(2,4,3) to the plane determined by the three points B(1,4,2),…

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Q: Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and the…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Draw the plane given by the equation. x + y + z = 4

A: x+ y+ z= 4

Q: Find the distance (d) from the paint (9, 4, 6) to the plane z-y = 5. STAAVE

A:

Q: Зх + 2у + 3z %3D 6

A: Use a graphing utility to plot the graph of 3x+2y+3z=6 .

Q: Find the distance from (2, –7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Hey, since there are multiple subparts posted, we will answer three subparts. If you want any…

Q: Зу — 2z 3D 6

A: Use a graphing utility to plot the plane, 3y-2z=6 .

Q: You are given the following points: A = (-4, 5, 16), B = (-17,0, 3), C = (5, –6, – 20). Which point…

A: 3D coordinate

Q: You are given the following points: A = (-4, 20, 16), B = (20, 0, 7), C = (8, –15, – 19). %3D Which…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: axis the orgin 16 length rd, center at and pases through (o #(-ファーろ) F2(-3)and ー3)

A:

Q: Fud the Line pussing through the posnt (!,-l,o) and purrllel to the Eme of intersection of planes (X…

A:

Q: Find the distance between the following parallel planes: (a) 3x – 4y +z=1 and 6x – 8y + 2z =3 (b) –…

A: Solve the above questions.

Q: Show the following curve is flat and Write the equation of the plane on which the curve is located:

A:

Q: Find the points of intersection of the line x = 3+2t, y =5+7t, z = -3+t, that is, I(t) = 3+2t, 5+7t,…

A: To determine the intersection of the line with the coordinate planes.

Q: Find the midpoint M of the line segment joining the points A = (7, 1) and B= =(1, 5). %3D %3D M = OD

A:

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A:

Q: Find the distance from the point of intersection of liies ( X=t, y=3-3t, =-224) and (x=1+t y=4rt,…

A:

Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

A:

Q: Find the point of intersection of the lines L1 and L2 and determine the equation of the plane that…

A: Point of intersection of two lines in 3D

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

Q: Find the distance from the point (7,-9,-5) to the plane 3x + 5y = 51.

A:

Q: Graph the first-octant portion of each plane.x + y = 4

A: Consider the given plane. x+ y=4⇒y=4-x Assume some test points and make a table of values as…

Q: Determine the cartesian equation of the plane having x-intercept of 2, a y-intercept of 5 and a…

A: To find the cartesian equation of the plane

Q: Find the distance, d, between the point S(9,3,5) and the plane 9x + 1y + 1z= 36. The distance, d,…

A:

Q: x + 13y + 7z = 4, and 2x + 26y + 7z = 8

A: